Information on Result #548490
There is no linear OA(453, 59, F4, 40) (dual of [59, 6, 41]-code), because residual code would yield linear OA(413, 18, F4, 10) (dual of [18, 5, 11]-code), but
- “Liz†bound on codes from Brouwer’s database [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(454, 60, F4, 41) (dual of [60, 6, 42]-code) | [i] | Truncation | |
| 2 | No linear OA(455, 61, F4, 42) (dual of [61, 6, 43]-code) | [i] | ||
| 3 | No linear OOA(454, 59, F4, 2, 41) (dual of [(59, 2), 64, 42]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(455, 59, F4, 2, 42) (dual of [(59, 2), 63, 43]-NRT-code) | [i] | ||
| 5 | No linear OOA(456, 59, F4, 2, 43) (dual of [(59, 2), 62, 44]-NRT-code) | [i] | ||
| 6 | No linear OOA(457, 59, F4, 2, 44) (dual of [(59, 2), 61, 45]-NRT-code) | [i] | ||
| 7 | No linear OOA(458, 59, F4, 2, 45) (dual of [(59, 2), 60, 46]-NRT-code) | [i] | ||
| 8 | No linear OOA(459, 59, F4, 2, 46) (dual of [(59, 2), 59, 47]-NRT-code) | [i] | ||
| 9 | No linear OOA(460, 59, F4, 2, 47) (dual of [(59, 2), 58, 48]-NRT-code) | [i] | ||
| 10 | No linear OOA(461, 59, F4, 2, 48) (dual of [(59, 2), 57, 49]-NRT-code) | [i] | ||
| 11 | No linear OOA(462, 59, F4, 2, 49) (dual of [(59, 2), 56, 50]-NRT-code) | [i] | ||
| 12 | No linear OOA(463, 59, F4, 2, 50) (dual of [(59, 2), 55, 51]-NRT-code) | [i] | ||
| 13 | No linear OOA(464, 59, F4, 2, 51) (dual of [(59, 2), 54, 52]-NRT-code) | [i] | ||
| 14 | No linear OOA(465, 59, F4, 2, 52) (dual of [(59, 2), 53, 53]-NRT-code) | [i] | ||
| 15 | No linear OOA(466, 59, F4, 2, 53) (dual of [(59, 2), 52, 54]-NRT-code) | [i] | ||
| 16 | No linear OOA(467, 59, F4, 2, 54) (dual of [(59, 2), 51, 55]-NRT-code) | [i] | ||
| 17 | No linear OOA(468, 59, F4, 2, 55) (dual of [(59, 2), 50, 56]-NRT-code) | [i] | ||
| 18 | No linear OOA(469, 59, F4, 2, 56) (dual of [(59, 2), 49, 57]-NRT-code) | [i] | ||
| 19 | No linear OOA(470, 59, F4, 2, 57) (dual of [(59, 2), 48, 58]-NRT-code) | [i] | ||
| 20 | No linear OOA(471, 59, F4, 2, 58) (dual of [(59, 2), 47, 59]-NRT-code) | [i] | ||
| 21 | No linear OOA(472, 59, F4, 2, 59) (dual of [(59, 2), 46, 60]-NRT-code) | [i] | ||
| 22 | No linear OOA(473, 59, F4, 2, 60) (dual of [(59, 2), 45, 61]-NRT-code) | [i] | ||
| 23 | No linear OOA(474, 59, F4, 2, 61) (dual of [(59, 2), 44, 62]-NRT-code) | [i] | ||
| 24 | No linear OOA(475, 59, F4, 2, 62) (dual of [(59, 2), 43, 63]-NRT-code) | [i] | ||
| 25 | No linear OOA(476, 59, F4, 2, 63) (dual of [(59, 2), 42, 64]-NRT-code) | [i] | ||
| 26 | No linear OOA(477, 59, F4, 2, 64) (dual of [(59, 2), 41, 65]-NRT-code) | [i] | ||
| 27 | No linear OOA(478, 59, F4, 2, 65) (dual of [(59, 2), 40, 66]-NRT-code) | [i] | ||
| 28 | No linear OOA(479, 59, F4, 2, 66) (dual of [(59, 2), 39, 67]-NRT-code) | [i] | ||
| 29 | No linear OOA(480, 59, F4, 2, 67) (dual of [(59, 2), 38, 68]-NRT-code) | [i] | ||
| 30 | No linear OOA(481, 59, F4, 2, 68) (dual of [(59, 2), 37, 69]-NRT-code) | [i] | ||
| 31 | No linear OOA(482, 59, F4, 2, 69) (dual of [(59, 2), 36, 70]-NRT-code) | [i] | ||
| 32 | No linear OOA(483, 59, F4, 2, 70) (dual of [(59, 2), 35, 71]-NRT-code) | [i] | ||
| 33 | No linear OOA(484, 59, F4, 2, 71) (dual of [(59, 2), 34, 72]-NRT-code) | [i] | ||
| 34 | No linear OOA(485, 59, F4, 2, 72) (dual of [(59, 2), 33, 73]-NRT-code) | [i] | ||
| 35 | No linear OOA(486, 59, F4, 2, 73) (dual of [(59, 2), 32, 74]-NRT-code) | [i] | ||
| 36 | No linear OOA(487, 59, F4, 2, 74) (dual of [(59, 2), 31, 75]-NRT-code) | [i] | ||
| 37 | No linear OOA(488, 59, F4, 2, 75) (dual of [(59, 2), 30, 76]-NRT-code) | [i] | ||
| 38 | No linear OOA(489, 59, F4, 2, 76) (dual of [(59, 2), 29, 77]-NRT-code) | [i] | ||
| 39 | No linear OOA(490, 59, F4, 2, 77) (dual of [(59, 2), 28, 78]-NRT-code) | [i] | ||
| 40 | No linear OOA(491, 59, F4, 2, 78) (dual of [(59, 2), 27, 79]-NRT-code) | [i] | ||
| 41 | No linear OOA(492, 59, F4, 2, 79) (dual of [(59, 2), 26, 80]-NRT-code) | [i] | ||
| 42 | No linear OOA(493, 59, F4, 2, 80) (dual of [(59, 2), 25, 81]-NRT-code) | [i] | ||
| 43 | No linear OOA(494, 59, F4, 2, 81) (dual of [(59, 2), 24, 82]-NRT-code) | [i] | ||
| 44 | No linear OOA(495, 59, F4, 2, 82) (dual of [(59, 2), 23, 83]-NRT-code) | [i] | ||
| 45 | No linear OOA(496, 59, F4, 2, 83) (dual of [(59, 2), 22, 84]-NRT-code) | [i] | ||
| 46 | No linear OOA(497, 59, F4, 2, 84) (dual of [(59, 2), 21, 85]-NRT-code) | [i] | ||
| 47 | No linear OOA(498, 59, F4, 2, 85) (dual of [(59, 2), 20, 86]-NRT-code) | [i] | ||
| 48 | No linear OOA(499, 59, F4, 2, 86) (dual of [(59, 2), 19, 87]-NRT-code) | [i] | ||
| 49 | No linear OOA(4100, 59, F4, 2, 87) (dual of [(59, 2), 18, 88]-NRT-code) | [i] | ||
| 50 | No linear OOA(453, 59, F4, 2, 40) (dual of [(59, 2), 65, 41]-NRT-code) | [i] | Depth Reduction | |
| 51 | No linear OOA(453, 59, F4, 3, 40) (dual of [(59, 3), 124, 41]-NRT-code) | [i] | ||
| 52 | No digital (13, 53, 59)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |
| 53 | No linear OA(4213, 220, F4, 160) (dual of [220, 7, 161]-code) | [i] | Residual Code | |
| 54 | No linear OA(454, 67, F4, 40) (dual of [67, 13, 41]-code) | [i] | Construction Y1 (Bound) | |